Abstract

The authors have presented Ultimate Response Analysis by which one can evaluate earthquake responses and seismic damages according to the principle of the ultimate energy equilibrium. In this analysis, the response behaviours of structures are classified into the two typical cases, i.e., cyclic responses and monotonic responses. The former is calculated by Finite Resonance Response Analysis and the latter by Pulse Response Analysis (velocity and acceleration pulses). In this report, the physical meanings of Pulse Response Analysis are examined essentially and it is proposed here a more accurate seismic analytical method, i.e., Ultimate Response Analysis in which the following are taken into account : (1) An equivalent amplitude ratio of input sine pulse wave to input rectangular pulse wave, (2) An equivalent amplification ratio of the duration of input rectangular pulse wave (t_P) to the period of in put spectrum (T), (3) The rule by which velocity or acceleration pulse is adopted in Pulse Response Analysis, (4) An initial velocity (V_0) by Finite Resonance Response Analysis The quantitative verification of the results of analysis are performed by means of statistical evaluations of earthquake inputs and responses. From this study, it is able to be concluded that Ultimate Response Analysis proposed here has a sufficient practical use.

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